Fourier Series of Circle Embeddings

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

We study the Fourier series of circle homeomorphisms and circle embeddings, with an emphasis on the Blaschke product approximation and the vanishing of Fourier coefficients. The analytic properties of the Fourier series are related to the geometry of the circle embeddings, and have implications for the curvature of minimal surfaces.

Original languageEnglish (US)
Pages (from-to)323-340
Number of pages18
JournalComputational Methods and Function Theory
Volume19
Issue number2
DOIs
StatePublished - Jun 1 2019

Keywords

  • Blaschke products
  • Circle embeddings
  • Circle homeomorphisms
  • Fourier series
  • Harmonic maps

ASJC Scopus subject areas

  • Analysis
  • Computational Theory and Mathematics
  • Applied Mathematics

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